2.A · General Content and Services License
Valve hereby grants, and you accept, a non-exclusive license and right, to use the Content and Services for your personal, non-commercial use (except where commercial use is expressly allowed herein or in the applicable Subscription Terms). This license ends upon termination of (a) this Agreement or (b) a Subscription that includes the license. The Content and Services are licensed, not sold. Your license confers no title or ownership in the Content and Services.
Two sentences, back to back, saying the same thing twice in case you missed it. Note the last line of this clause, which we have not highlighted: to use any of it "you must have a Steam Account and you may be required to be running the Steam client and maintaining a connection to the Internet".